GCD of 180, 364, 170, 524 Calculator

Given Input numbers are 180, 364, 170, 524

In the factoring method, we have to find the divisors of all numbers

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (180, 364, 170, 524) = 2.

Given numbers are 180, 364, 170, 524

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 170 are 2 x 5 x 17

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 180, 364, 170, 524 is 2.

Given numbers are 180, 364, 170, 524

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(180, 364) = 16380

GCD(180, 364) = ( 180 x 364 ) / 16380

= 180 / 364

= 180

Step2:

LCM(4, 170) = 340

GCD(4, 170) = ( 4 x 170 ) / 340

= 4 / 170

= 4

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 180, 364, 170, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 809, 944, 441
• GCD of 707, 355, 669, 525
• GCD of 265, 528, 521, 279
• GCD of 407, 817, 616, 341
• GCD of 707, 763, 824, 269

Given numbers are 180, 364, 170, 524
The greatest common divisor of numbers 180, 364, 170, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 364, 170, 524 is 2.

1. What is the GCD of 180, 364, 170, 524?

GCD of given numbers 180, 364, 170, 524 is 2

2. How to calculate the greatest common divisor of 180, 364, 170, 524?

We can find the highest common divisor of 180, 364, 170, 524 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 180, 364, 170, 524 i.e 2.

3. How can I use the GCD of 180, 364, 170, 524Calculator?

Out the numbers 180, 364, 170, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.